https://file.aiquickdraw.com/mathbot/file/1728926666269psjveyby.jpg

Let's solve the equation shown in the image:

\[
15 + 6x = 45 + 8x
\]

### Step-by-Step Solution:

1. **Move all terms involving \( x \) to one side**:
   Subtract \( 6x \) from both sides:
   \[
   15 = 45 + 2x
   \]

2. **Move constants to the other side**:
   Subtract 45 from both sides:
   \[
   15 - 45 = 2x
   \]
   \[
   -30 = 2x
   \]

3. **Solve for \( x \)**:
   Divide both sides by 2:
   \[
   x = \frac{-30}{2}
   \]
   \[
   x = -15
   \]

### Final Answer:
\[
x = -15
\]

Would you like more details or have any questions?

---

Here are five related questions:
1. How would the solution change if one of the coefficients of \( x \) were negative?
2. Can this equation be solved using a different method, like graphing?
3. How do you verify that the solution \( x = -15 \) is correct?
4. What if the equation had fractions, how would the solution method change?
5. Can you solve this equation for other variables, or is it specific to \( x \)?

**Tip:** Always check your solution by plugging the value of \( x \) back into the original equation.

Learn how to solve the linear equation 15 + 6x = 45 + 8x with a detailed step-by-step explanation. This solution focuses on core algebraic methods such as simplifying and solving for x. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation